Based on the Chvorinov's rule, the diference in the solidification times of the two castings is 14.092 times the solidification time of the prism casting.
How to apply the Chvorinov's rule for casting processes
The Chvorinov's rule is an empirical method to estimate the cooling time of a casting in terms of a reference time. This rule states that cooling time (t) is directly proportional to the square of the volume (V), in cubic meters, divided to the surface area (A), in square meters. Now we proceed to model each casting:
Cylindrical castingt = C · [0.25π · D² · L/(0.5π · D² + π · D · L)]²
t = C · [0.25 · D · L/(0.5 · D + L)]² (1)
Prism castingt' = C · [3 · T² · L/(6 · T · L + 2 · T · L + 6 · T²)]²
t' = C · [3 · T · L/(8 · L + 6 · T)]² (2)
Relationship between the cross sections of both castings3 · T² = 0.25π · D² (3)
Where:
t - Cooling time of the cylindrical casting, in time unit.t' - Cooling time of the prism casting, in time unit. C - Cooling factor, in time unit per square meter.D - Diameter of the cylinder, in meters.L - Length of the casting, in meters.T - Width of the cross section of the prism casting, in meters.If we know that D = 0.3 m, then the thickness of the prism casting is:
[tex]T = \sqrt{\frac{\pi}{12} }\cdot D[/tex]
T ≈ 0.153 m
And (1) and (2) simplified into these forms:
Cylindrical castingt = C · {0.25π · (0.3 m) · (0.5 m)/[0.5 · (0.3 m) + 0.5 m]}²
t = 0.0329 · C (1b)
Prism castingt' = C · {3 · (0.153 m) · (0.5 m)/[8 · (0.5 m) + 6 · (0.153 m)]}²
t' = 0.00218 · C (2b)
Lastly we find the percentual difference in the solidification times of the two castings by using the following expression:
r = (1 - t'/t) × 100 %
r = (1 - 0.00218/0.0329) × 100 %
r = 93.374 %
The cooling time of the prism casting is 6.626 % of the solidification time of the cylindrical casting. The diference in the solidification times of the two castings is 14.092 times the solidification time of the prism casting. [tex]\blacksquare[/tex]
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Masking decisions are made when developing a refinishing plan.
True
O False
Table of Contents
Masking decisions are made when developing a refinishing plan: True.
What is a refinishing plan?A refinishing plan can be defined as a process through which automobile vehicles or other mobile equipment are coated with a paint and masking tape during repair, so as to beautify them and give it a new look.
This ultimately implies that, masking decisions are made by an engineer when developing a refinishing plan.
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What is the rate at which electrical energy is being dissipated by the resistance of the loop?.
Answer: see attached files
The concept that states the equivalency of two voltage sources means that for any given load resistance connected to the two sources, the same load voltage and load current are produced by both sources is called:
Answer:
Terminal equivalency
Explanation:
10.9 Determine the critical load of a round wooden dowel that is 0.9 m long and has a diameter of (a) 10 mm, (b) 15 mm. Use E
these categories
THE NATURE OF MATERIALS
Review Questions
2.1
The elements listed in the Periodic Table can be divided into three categories. What are these categories and give an example of each?
Answer
. The three types of elements are metals (e.g., aluminum), nonmetals (e.g., oxygen), and semimetals
Using a definition of the limit of function, prove that the following functions are continuous
at = 0:
) () = 1 − 2 + 52, 0 = 1
Answer:
... you gotta do divson?
Explanation:
Reason for IEE regulations in electrical installation
Mixing ratio, relative humidity, and dew-point temperature are all ways of measuring the amount of ________ in the air.
3. All companies, small or large, are required to have a written fire prevention plan.
A) O True
B)O False
Answer:
A) True
Explanation:
Answer:
A. true
Explanation:
cause if they dont they could possibly get sgut down for safety hazards and violations of its' employee. And there could be a asccident because there was no safety.
Write an Essay describing in your own words, the two-way Communication Cycle naming all the stages and explaining what goes on at each stage. Illustrate any two barriers that may occur at each of the stages. A correctly labelled diagram is essential for your essay.
n
e
g
r
o
means black in spanish!
Reverse masking forms a soft edge on the panel.
True
False
Table of Contents
(Auto body)
A retail business, owned by share holders and having centralized decision making for their multiple store locations is called:
When rolling two dice, the probability of rolling doubles is 1/6. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?
The probability that the player gets doubles less than three times in 5 attempts is; 0.9645.
How to solve Binomial Probability?
The formula for binomial probability distribution is;
P(X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ ⁻ ˣ⁾
where;
x = total number of successes
p = probability of a success on an individual trial
n = number of trials
We are given;
x = 3
p = 1/6 = 0.1667
n = 5
Thus;
P(X < 3) = (⁵C₂ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ²⁾) + (⁵C₁ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ¹⁾) + (⁵C₀ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ⁰⁾)
Thus;
P(X < 3) = 0.9645
Thus, the probability that the player gets doubles less than three times in 5 attempts is 0.9645.
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A firm is considering investing in a new piece of material handling equipment that should save on the current annual labor cost of moving the materials by hand. The device costs $750 can be expected to result in $500 annual savings for years 1, 2, and 3; then, it will have worn out and have to be replaced. Assume the interest rate that determines time value of money for this firm is 7%
Required:
a. What is the payback period for the expenditure of the $1000?
b. Calculate the present worth (PW) of the three years of savings, assuming the savings occur at the end of each year of ownership.
c. Calculate the net present worth (NPW) of the investment.
d. Based on your answers to į and iii, should the firm invest in the equipment?
Answer:
current sales are 15 millon
Explanation:
15- Vipsana's Gyros House sells gyros. The cost of ingredients (pita, meat, spices, etc.) to make a gyro is $2.00. Vipsana pays her employee $60 per day. She also incurs a fixed cost of $120 per day. Calculate Vipsana's variable cost per day when she produces 50 gyros using two workers?
A) $100
B) $124.40
C) $220
D) $240
What were the trade-offs and opportunity costs of one of Teasha’s economic decisions?
Answer:
Opportunity cost she loses the chance to get the degree. The trade- off is she gets to start a business.
Explanation:
Question 1 of 10
Which type of cloud is made up of both liquid water droplets and ice crystals?
• A. Cirrostratus
• B. Stratus
• C. Cirrus
• D. Cumulonimbus
SUBMIT
Answer:
[D] Cumulonimbus
Explanation:
When the top of a cumulus reaches above, the water droplets are transformed into ice crystals and it loses its clear, sharp outline. It transformed into ice crystals because when it reaches it height the place is cold. As well as at this stage the cloud has become a cumulonimbus. And thus, the type of cloud is made up of both Liquid water droplets and ice crystals are called Cumulonimbus.
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Kavinsky
Answer:
D. Cumulonimbus
Explanation:
what are the importance of crystallography in geology
The importance of crystallography in geology is that it is used in phase identification of minerals.
What is crystallography?Crystallography can be defined as the study of minerals and it's description according to geometrical observation.
In geology, minerals are resources of major economic importance and they are mostly crystalline. This simply explains the role of crystallography in geology.
Therefore, the importance of crystallography in geology is that it is used in phase identification of minerals.
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Using the Breguet range and endurance equation, estimate the amount of kerosene
fuel needed for an aircraft weighing 10 metric tons (this is the dry weight that
includes passengers and cargo) to fly from Boston to Los Angeles, assuming a
distance of 5,000 [km], flying at 300 [m/s].
Assume a lift-to-drag ratio of 15 - this is the ratio of lift force over drag force during
the cruise, the overall efficiency of 0.3, and about half of the standard air density at
an altitude of approximately 6,000 [m]. You can neglect the climb and descent
phases of the flight. The energy density of kerosene is provided in Module 9, section
3: "The Breguet range and endurance equation". Why is this a tricky calculation?
The amount of kerosene fuel needed for an aircraft weighing 10 metric tons to fly from Boston to Los Angeles, assuming a distance of 5,000 [km] is 10000 kg.
What is Breguet equation?Breguet equation is used to determine the range of airplane fly in some specified set of parameters.
[tex]R=\dfrac{h_f}{g}\dfrac{L}{D}\times \eta \ln \left(\dfrac{W_{initial}}{W_{final}}\right)[/tex]
Here, (L/D) is lift to drag ratio, g is gravitation acceleration, h is height and W is weight.
The weight of aircraft is 10 metric tons (this is the dry weight that includes passengers and cargo) The distance of 5,000 [km], with velocity at 300 [m/s] from Boston to Los Angeles has to be cover by the airplane.
The initial weight is 10 metric tons or 10000 kg. Thus, the final weight with total fuel burn is,
[tex]W_{final}=W_{initial}-W_{fuel}\\W_{final}=1-\dfrac{W_{fule}}{W_{initial}}[/tex]
The lift-to-drag ratio is 15 and the overall efficiency is 0.3, The standard air density at an altitude of approximately 6,000 [m] is half.
Thus, put the values, in above formula,
[tex]5000=\dfrac{6000}{9.81}(15)\times(0.3) \ln \left(\dfrac{10000}{1-\dfrac{W_{fuel}}{10000}}}\right)\\[/tex]
[tex]\ln \left(\dfrac{10000}{1-\dfrac{W_{fuel}}{10000}}}\right)=1.8167\\\ln \left(\dfrac{1}{10000-W_{fuel}}}\right)=1.8167[/tex]
Solving this equation, we get,
[tex]W_{fuel}=10000\rm\; kg\\[/tex]
Thus, the amount of kerosene fuel needed for an aircraft weighing 10 metric tons to fly from Boston to Los Angeles, assuming a distance of 5,000 [km] is 10000 kg.
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Which explanation best summarizes what went wrong during Paul’s cost analysis?
Paul is developing a new automobile. His cost analysis took into consideration the costs of materials, insurance, and labor. Suddenly, unanticipated bills have begun coming in, putting his project far over budget.
He forgot to include direct costs such as advertising, legal fees, and repairs.
He forgot to include circumstances such as employee vacations and faulty materials.
He forgot to include indirect costs such as advertising, legal fees, and repairs.
He forgot to include circumstances such as attrition and failure of delivery of materials
Answer:
The correct answer is He forgot to include indirect costs such as advertising, legal fees, and repairs.
Explanation:
Technician A states that the wider the gap on an A/C clutch, the greater the electrical resistance measurement is observed when checking the windings. Technician B states that a wide clutch gap causes the compressor to remain engaged. Who is correct
Technician B is correct because it's true that a wide clutch gap in an A/C clutch would cause the compressor to remain engaged.
What is an A/C clutch?An A/C clutch can be defined as a mechanical device that is designed and developed for the conversion of energy generated by the engine and delivers it to the compressor.
For instance, when an air conditioner (A/C) is turned on, the clutch becomes engaged and it begins to spin rapidly and constantly, so as to transfer power to the air conditioner (A/C).
In conclusion, technician B is correct while technician A is wrong because it's true that a wide clutch gap in an A/C clutch would cause the compressor to remain engaged.
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What is the importance of the causal link
in work accidents?
Causal link is very important to know the correlation between a cause and an outcome of a workplace accident which is useful for social insurance cover.
Understanding work accidents?
In work accidents, there is the need for evaluation criteria and injury determination. Now, this is where causal link comes in because we'll need to know whether the damage is a permanent disability or not.
Now, causal link is important because it helps us to know the correlation between a cause and an outcome of a workplace accident and whether it was intentional or caused by other factors. This is very important because of social insurance cover.
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In a pulley you pull more rope so that you use ___ effort.
Answer: D i just got off this question
FAT ASE O Safety and Foundat
All of the following statements regarding safety data sheets are true EXCEPT:
Select one:
O A. They should be consulted to learn how to use the product safely.
B. If you are using more than one product, consult the SDS of only one of the products.
C. They include information on chemical ingredients.
D. All new SDS should be in a uniform format.
a
Next page
Answer:
it should be A bc I took the test a while back
A hydroelectric dam contains all of the following EXCEPT ________. rotors generators turbines a combustion chamber magnets
A hydroelectric dam contains rotors, generators, turbines, and magnets; EXCEPT a combustion chamber.
What is a hydroelectric Dam?A hydroelectric dam is a key component of any hydroelectric facility. A typical dam stores water behind it in a man-made lake or reservoir. When water is released through the dam, it drives a turbine, which is linked to a generator, which generates power.
A hydroelectric dam contains the following components rotors, generators, turbines, and magnets. But it does not contain a combustion chamber.
Hence, A hydroelectric dam contains rotors, generators, turbines, and magnets; EXCEPT a combustion chamber.
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Choose the statement that correctly describes the circuit below. image is not found a. The above circuit is invalid because nMOS and pMOS transistors cannot be used in the same circuit. b. The circuit is composed of 1 pMOS and 2 nMOS transistors. c. If control input a
The statement that correctly describes the circuit is the circuit provided is an example of a CMOS circuit.
What is a CMOS circuit?The CMOS circuit is a term that is often known as "Complementary Metal Oxide Semiconductor."
This is known to be a machine that create integrated circuits and it is one that is often seen a a lot of electronic component and as such, the the circuit provided is an example of a CMOS circuit.
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A compressible clay layer has a thickness of 3.8 m. After 1.5 yr, when the clay is 50% consolidated, 7.3 cm of settlement has occurred. For a similar clay and loading conditions, how much settlement would occur at the end of 1.5 yr and 5 yr if the thickness of this new layer were 38 m
The amount of settlement that would occur at the end of 1.5 year and 5 year are 7.3 cm and 13.14 cm respectively.
How to determine the amount of settlement?For a layer of 3.8 m thickness, we were given the following parameters:
U = 50% = 0.5.Sc = 7.3 cm.For Sf, we have:
Sf = Sc/U
Sf = 7.3/0.5
Sf = 14.6
Therefore, Sf for a layer of 38 m thickness is given by:
Sf = 14.6 × 38/3.8
Sf = 146 cm.
At 50%, the time for a layer of 3.8 m thickness is:
[tex]t_{50}[/tex] = 1.5 year.
At 50%, the time for a layer of 38 m thickness is:
[tex]t_{50}[/tex] = 1.5 × (38/3.8)²
[tex]t_{50}[/tex] = 150 years.
For a thickness of 38 m, U₂ is given by:
[tex]\frac{U_1^2}{U_2^2} =\frac{(T_v)_1}{(T_v)_2} = \frac{t_1}{t_2} \\\\U_2^2 = U_1^2 \times [\frac{t_2}{t_1} ]\\\\U_2^2 = 0.5^2 \times [\frac{1.5}{150} ]\\\\U_2^2 = 0.25 \times 0.01\\\\U_2=\sqrt{0.0025} \\\\U_2=0.05[/tex]
The new settlement after 1.5 year is:
Sc = U₂Sf
Sc = 0.05 × 146
Sc = 7.3 cm.
For time, t₂ = 5 year:
[tex]U_2^2 = U_1^2 \times [\frac{t_2}{t_1} ]\\\\U_2^2 = 0.5^2 \times [\frac{5}{150} ]\\\\U_2^2 = 0.25 \times 0.03\\\\U_2=\sqrt{0.0075} \\\\U_2=0.09[/tex]
The new settlement after 5 year is:
Sc = U₂Sf
Sc = 0.09 × 146
Sc = 13.14 cm.
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What kind of situations breaks the causal link?
Answer:A novus actus
A transformer reads zero volts across the output terminals. The cause is most likely ___________________.
Explanation:
Nothing applied at input terminals, DC voltage applied at input, broken windings (I would say most likely) , defective test equipment are all possibilities
function of oil seal and sealant.
Answer:
oil seals function is To act as a physical barrier retaining the lubricating oil where it is bound to be.
Sealants function is to Fill a gap between two or more substrates .
Explanation:
Use g = 9.8m/s2 and calculate the weight of 3 bricks of butter having a mass of half a kilo each
Answer:
This article deals with weight formula and its derivation. Weight refers to the force which acts on a body or object due to the effect of gravity. So, when an individual stands on a scale, the reading that appears is the weight. The more an individual weighs consequently means a higher reading on the scale. When an individual loses weight, he should think of it as lessening one’s force on the Earth due to gravity.
weight formula
What is Weight?
Simply speaking, weight refers to the force of gravity. Weight is certainly a force that acts on all bodies or objects at all times near a heavenly body such as the Earth. The Earth pulls all objects downward towards the center with a force of gravity. One can find the magnitude of the force of gravity by multiplying the magnitude of the acceleration due to gravity by the mass of the particular object.
Some books describe weight as a scalar quantity, the magnitude of the gravitational force. In contrast, some books refer to weight as a vector quantity, the gravitational force which acts on the object. Moreover, some experts explain weight as referring to the magnitude of the reaction force which is exerted on a body by various mechanisms. Also, these mechanisms keep the body in place.
The unit of measurement for weight is certainly that of force. This unit in the International System of Unit (SI) is the newton. The object with a mass of 1 kilogram would weigh about 9.8 Newtons on the Earth’s surface. Furthermore, it would weigh about one-sixth as much on the moon.
Weight Formula
The weight of an object or body certainly depends on the mass of the object and the gravity acting on it. This is why, the weight is different from mass. The mass of an object would be same whether on the Earth or on the Moon. The weight of an object due to the influence of gravity would be different on the Earth than on the Moon. The weight formula can be explained as follows:
Weight = mass × gravity
The formula for this is:
w = mg
Here we have,
w = weight
m = mass
g = gravity
Explanation: